Characterization of extremal valued fields
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- by Salih Azgin, Franz-Viktor Kuhlmann and Florian Pop PDF
- Proc. Amer. Math. Soc. 140 (2012), 1535-1547 Request permission
Abstract:
We characterize those valued fields for which the image of the valuation ring under every polynomial in several variables contains an element of maximal value or zero.References
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Additional Information
- Salih Azgin
- Affiliation: Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, L8S 4K1 Ontario, Canada
- Address at time of publication: Middle Eastern Technical University, Northern Cyprus Campus, Kalkanlı, Güzelyurt, KKTC, Mersin 10, Turkey
- Email: sazgin@math.mcmaster.ca, sazgin@metu.edu.tr
- Franz-Viktor Kuhlmann
- Affiliation: Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
- Email: fvk@math.usask.ca
- Florian Pop
- Affiliation: Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104-6395
- MR Author ID: 216572
- Email: pop@math.upenn.edu
- Received by editor(s): July 1, 2009
- Received by editor(s) in revised form: September 22, 2009, April 11, 2010, and January 20, 2011
- Published electronically: September 21, 2011
- Additional Notes: The second author was partially supported by a Canadian NSERC grant and by a sabbatical grant of the University of Saskatchewan.
The third author was supported by the John Templeton Foundation grant ID 13394. \indent A major part of this research was done while the authors were attending the o-minimality program at the Fields Institute, January–June 2009. The authors would like to thank the Fields Institute for its support and hospitality. - Communicated by: Bernd Ulrich
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1535-1547
- MSC (2010): Primary 12J10; Secondary 12E30
- DOI: https://doi.org/10.1090/S0002-9939-2011-11020-7
- MathSciNet review: 2869138